Does county time count as time off your state sentence?

How soon can you get out for doing the extra classes? and do they take into account the time you served when you are in county jail waiting for a trial? Because then they were offering a plea bargain, but that should not stop the time that's already been served. So how do you get them to take that into consideration when they're calculating time already served.? The county jail says that it's up to the state to fix any wrong determinations, and to look it up and adjust anything that needs to be adjusted. How often do they make adjustments? And how many adjustments do they consider? Is there a law that says they have to taken into consideration? because the county time service should be added to the state time served. Who do I talk to about this?